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A macroion correlation effect on the structure of charged stabilized colloidal suspensions: a self-consistent integral equation study

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Abstract

Using the mean field Poisson–Boltzmann (PB) and the Ornstein–Zernike (OZ) integral equation theories, we have determined the macroions effective interactions and the structure of charged stabilized colloidal suspension for a large charge range of macroion and screening parameter values. The renormalized parameters are calculated by solving the PB equation written in the framework of the modified Jellium model. The structures have been determined by solving the OZ equation coupled with a self-consistent integral equation, which is related to the Verlet’s modified closure. Our results of the effective parameters are in good agreement with the experimental data, also the structure presents acceptable improvement compared to the Monte Carlo simulation data, against the HNC structure results, PACS: 61.20 Gy, 82.70 Dd, and 82.70 Kj.

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Abbreviations

PB:

Poisson–Boltzmann equation

OZ:

Ornstein–Zernike equation

OCM:

One component model

PM:

Primitive model

DLVO:

Derjaguin, Landau, Verwey, and Overbeek theory

RDF:

Radial distribution function

SC2VM:

Double self-consistent Verlet modified closure

VM:

Verlet modified closure

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Acknowledgments

One of our colleagues, S.F., wishes to thank Professor Enrique Lomba of the Instituto de Química Física Rocasolano de Madrid, Spain for his useful help.

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Authors and Affiliations

  1. Département de Physique, Laboratoire de physique théorique, Faculté des sciences, Université Abou Backr Belkaid, BP 119, Tlemcen, 13000, Algérie

    Fatiha Smain & Fouzia Ould-Kaddour

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  1. Fatiha Smain
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  2. Fouzia Ould-Kaddour
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Correspondence to Fatiha Smain.

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Smain, F., Ould-Kaddour, F. A macroion correlation effect on the structure of charged stabilized colloidal suspensions: a self-consistent integral equation study. Colloid Polym Sci 288, 1731–1737 (2010). https://doi.org/10.1007/s00396-010-2300-0

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  • DOI: https://doi.org/10.1007/s00396-010-2300-0

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